Advertisements
Advertisements
Question
Solve graphically
x + y = 7, x – y = 3
Advertisements
Solution
x + y = 7
y = 7 – x
| x | – 2 | 0 | 3 |
| y | 9 | 7 | 4 |
Plot the points (– 2, 9), (0, 7) and (3, 4) in the graph sheet
x – y = 3
– y = – x + 3
y = x – 3
| x | – 2 | 0 | 4 |
| y | – 5 | – 3 | 1 |
Plot the points (– 2, – 5), (0, – 3) and (4, 1) in the same graph sheet.
The point of intersection is (5, 2) of lines (1) and (2).
The solution set is (5, 2).
APPEARS IN
RELATED QUESTIONS
The cost of manufacturing x articles is Rs. (50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
No. of articles to be manufactured and sold to break even (no profit and no loss).
The cost of manufacturing x articles is Rs.(50 + 3x). The selling price of x articles is Rs. 4x.
On a graph sheet, with the same axes, and taking suitable scales draw two graphs, first for the cost of manufacturing against no. of articles and the second for the selling price against the number of articles.
Use your graph to determine:
The profit or loss made when (a) 30 (b) 60 articles are manufactured and sold.
Solve graphically, the following equations.
x + 2y = 4; 3x - 2y = 4.
Take 2 cm = 1 unit on each axis.
Also, find the area of the triangle formed by the lines and the x-axis.
Use the graphical method to find the value of 'x' for which the expressions `(3x + 2)/(2) and (3)/(4)x - 2`
Solve the following equations graphically :
x + 3y = 8
3x = 2 + 2y
Solve the following equations graphically :
2x - y = 9
5x + 2y = 27
Solve the following equations graphically :
x + 4y + 9 = 0
3y = 5x - 1
Solve the following equations graphically :
2x - 6y + 10 = 0
3x - 9y + 25 = 0
Solve the following system of equations graphically:
2x = 23 - 3y
5x = 20 + 8y
Also, find the area of the triangle formed by these lines and x-axis in each graph.
Solve graphically
x – y = 0, y + 3 = 0
